Greatest Common Factor of 8477/30, 7977/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8477/30, 7977/817

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8477/30,7977/817

Given fractions are 8477/30,7977/817

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8477,7977

Greatest Common Factor of Numerators i.e. GCF of 8477,7977 is 1 .

LCM of Denominators means LCM of 30,817 as per the given fractions.

LCM of 30,817 is 24510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8477,7977

GCF of Fractions 8477/30,7977/817 is 1/24510

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8477,7977 By Matching Biggest Common Factor Method

Greatest Common Factor of 8477,7977 By Matching Biggest Common Factor Method

Factors of 8477

List of positive integer factors of 8477 that divides 8477 without a remainder.

1,7,49,173,1211,8477

Factors of 7977

List of positive integer factors of 7977 that divides 7977 without a remainder.

1,3,2659,7977

Greatest Common Factor

We found the factors 8477,7977 . The biggest common factor number is the GCF number.
So the greatest common factor 8477,7977 is 1.

Lets's calculate LCM of 30,817

Given numbers has no common factors except 1. So, there LCM is their product i.e 24510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24510

Therefore, the GCF of Fractions 8477/30,7977/817 is 1/24510

Least Common Multiple of 30,817 with GCF Formula

Least Common Multiple of 30,817 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 30,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,817) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(30,817) x common factors =1 x 1 = 1

LCM(30,817) = ( 30 × 817 ) / 1

LCM(30,817) = 24510 / 1

LCM(30,817) = 24510


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8477/30, 7977/817

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8477/30, 7977/817?

Answer: GCF of Numerators as per given numbers 8477/30, 7977/817 is

GCF of Numerators i.e. for 8477,7977 is 1

LCM of denominators i.e. for 30,817 is 24510.

Thus, GCF of Fractions is 1/24510.Finally, GCF of Fractions for 8477/30, 7977/817 is 1/24510.